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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exp. Prime Factor Digits Year
25820891807462319 ~1985
25820899915221779
2582383413181298 ~1983
258239951647997 ~1981
2582501774750318 ~1984
2582581413212978 ~1983
2582677619842498 ~1984
2582707619849698 ~1984
258277151655437 ~1981
25829031291451519 ~1984
2582953774885918 ~1984
258299951659997 ~1981
258301151660237 ~1981
2583353361669438 ~1983
2583391258339118 ~1983
2583437155006238 ~1982
2583467206677378 ~1983
258349151669837 ~1981
258361151672237 ~1981
2583629361708078 ~1983
258367151673437 ~1981
2583767465078078 ~1983
2583769620104578 ~1984
2583857155031438 ~1982
2583907620137698 ~1984
Exp. Prime Factor Digits Year
2584031671848078 ~1984
2584079206726338 ~1983
2584081568497838 ~1984
2584159620198178 ~1984
2584301775290318 ~1984
2584367206749378 ~1983
258451151690237 ~1981
2584807258480718 ~1983
2584819258481918 ~1983
2584877361882798 ~1983
2584913155094798 ~1982
2585057155103438 ~1982
258512351702477 ~1981
258527951705597 ~1981
2585293775587918 ~1984
25853511085847439 ~1984
2585399206831938 ~1983
2585413775623918 ~1984
2585477361966798 ~1983
2585509620522178 ~1984
2585641155138478 ~1982
2585797155147838 ~1982
2586293155177598 ~1982
2586517155191038 ~1982
2586569620776578 ~1984
Exp. Prime Factor Digits Year
2586581206926498 ~1983
258665951733197 ~1981
2586709620810178 ~1984
258671951734397 ~1981
2586721155203278 ~1982
2586791465622398 ~1983
2586821155209278 ~1982
2586841155210478 ~1982
2586911206952898 ~1983
2586953155217198 ~1982
2587007465661278 ~1983
258703151740637 ~1981
2587289206983138 ~1983
2587337206986978 ~1983
258749951749997 ~1981
2587499206999938
2587547621011298 ~1984
2587801155268078 ~1982
25878471707979039 ~1985
2587861569329438 ~1984
2587877155272638 ~1982
2587903258790318 ~1983
258794351758877 ~1981
2587979207038338 ~1983
2588087672902638 ~1984
Exp. Prime Factor Digits Year
2588357155301438 ~1982
2588461414153778 ~1983
2588669776600718 ~1984
2589007258900718 ~1983
258907151781437 ~1981
2589269207141538 ~1983
258955151791037 ~1981
2589557155373438 ~1982
258956351791277 ~1981
25895772019870079 ~1985
258959951791997 ~1981
2589679621522978 ~1984
2589703621528738 ~1984
258997151799437 ~1981
25899712486372179
2589991414398578 ~1983
2590033155401998 ~1982
259007951801597 ~1981
2590079207206338
2590117777035118 ~1984
2590177414428338 ~1983
259022351804477 ~1981
2590223621653538
25902493108298819 ~1985
2590361155421678 ~1982
458
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25-09-07